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Finding the Fourth Proportional to 172,321.12, 237,824.40 and 96,868

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Solution

The fourth proportional to 172,321.12, 237,824.40 and 96,868 is: 133,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,321.12 : 237,824.40 = 96,868 : x
  2. Step 2: Convert to fraction form
    172,321.12/237,824.40 = 96,868/x
  3. Step 3: Cross multiply
    172,321.12x = 237,824.40 × 96,868
  4. Step 4: Simplify right side
    172,321.12x = 23,037,573,979.20
  5. Step 5: Solve for x
    x = 23,037,573,979.20/172,321.12
  6. Step 6: Final answer
    x = 133,689.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.